72166788 has 90 divisors (see below), whose sum is σ = 199432926. Its totient is φ = 22752576.

The previous prime is 72166763. The next prime is 72166789. The reversal of 72166788 is 88766127.

It can be written as a sum of positive squares in only one way, i.e., 42224004 + 29942784 = 6498^2 + 5472^2 .

It is not an unprimeable number, because it can be changed into a prime (72166789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 116656 + ... + 117272.

Almost surely, 2^72166788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72166788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99716463).

72166788 is an abundant number, since it is smaller than the sum of its proper divisors (127266138).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72166788 is a wasteful number, since it uses less digits than its factorization.

72166788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 641 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 72166788 is about 8495.1037662880. The cubic root of 72166788 is about 416.3377511611.

The spelling of 72166788 in words is "seventy-two million, one hundred sixty-six thousand, seven hundred eighty-eight".